For the initial value problem dy/dx = 1 + y3, y(1) = 1, show that the second Picard appr...

For the initial value problem dy/dx = 1 + y³, y(1) = 1, show that the second Picard approximation is

Then compute y²(1.1) and y²(1.2). The fourth-order Runge-Kutta method with step size h = 0.005 yields